Survey of methods to visualize alternatives in multiple criteria decision making problems

OR Spectrum

Volumn 36, Issue 1, 2014, Pages 3-37

  Miettinen, Kaisa ^a,b  

^a UNIVERSITY OF JYVÄSKYLÄ   (Finland)

^b ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Comparison of alternatives; Decision analysis; Discrete alternatives; Graphical illustration; Interactive methods; MCDM; Multicriteria optimization; Multiobjective optimization; Pareto optimality; Visualization

Indexed keywords

EID: 84892670315     PISSN: 01716468     EISSN: 14366304     Source Type: Journal    
DOI: 10.1007/s00291-012-0297-0     Document Type: Article

References (89)

1. Anderson E (1960) A semigraphical method for the analysis of complex problems. Technometrics 2(3): 387-391.
2. Andrews DF (1972) Plots of high-dimensional data. Biometrics 28(1): 125-136.
3. Angehrn AA (1991) Designing humanized systems for multiple criteria decision making. Human Syst Manag 10: 221-231.
4. Asimov D (1985) The grand tour: a tool for viewing multidimensional data. SIAM J Sci Stat Comput 6(1): 128-143.
5. Becker RA, Cleveland WS (1987) Brushing scatterplots. Technometrics 29(2): 127-142.
6. Bell PC, O'Keefe RM (1995) An experimental investigation into the efficacy of visual interactive simulation. Manag Sci 41(6): 1018-1038.
7. Belton V, Vickers S (1990) Use of a simple multi-attribute value function incorporating visual interactive sensitivity analysis for multiple criteria decision making. In: Bana e Costa CA (ed) Readings in multiple criteria decision aid, pp 319-334. Springer, Berlin.
8. Benbasat I, Dexter AS (1985) An experimental evaluation of graphical and color-enhanced information presentation. Manag Sci 31(11): 1348-1364.
9. Brans JP, Mareschal B (1994) The PROMCALC & GAIA decision support system for multicriteria decision aid. Decis Support Syst 12(4/5): 297-310.
10. Brodlie KW, Carpentier LA, Earnshaw RA, Gallop JR, Hubbold RJ, Mumford AM, Osland CD, Quarendon P (eds) (1992) Scientific visualization: techniques and applications. Springer, Berlin.
11. Bruckner LA (1978) On Chernoff faces. In: Wang PCC (ed) Graphical representation of multivariate data. Academic Press, New York, pp 93-121.
12. Chambers JM, Cleveland WS, Kleiner B, Tukey PA (1983) Graphical methods for data analysis. Wadsworth International Group.
13. Chambers JM, Kleiner B (1982) Graphical techniques for multivariate data and for clustering. In: Krishnaiah PR, Kanal LN (eds) Classification pattern recognition and reduction of dimensionality, Handbook of Statistics, vol 2, pp 209-244. North-Holland Publishing Company, Amsterdam.
14. Chankong V, Haimes YY (1983) Multiobjective decisionmaking theory and methodology. Elsevier SciencePublishing Co, Amsterdam.
15. Chernoff H (1973) The use of faces to represent points in k-dimensional space graphically. J Am Stat Assoc 76(68): 361-368.
16. Chernoff H (1978) Graphical representations as a discipline. In: Wang PCC (ed) Graphical representation of multivariate data. Academic Press, New York, pp 1-11.
17. Cleveland WS (1994) The Elements of graphing data. AT&T Bell Laboratories New Jersey, revised Edition.
18. Coello Coello CA, Lamont GB, van Veldhuizen DA (2007) Evolutionary algorithms for solving multiobjectiveproblems, 2nd edn. Springer, Berlin.
19. Crawford SL, Fall TC (1990) Projection pursuit techniques for visualizing high-dimensional data sets. In: Nielsen GM, Shriver B (eds) Visualization in scientific computing, pp 94-108. IEEE Computer Society Press.
20. Deb K, Miettinen K, Chaudhuri S (2010) Towards an estimation of nadir objective vector using a hybrid of evolutionary and local search approaches. IEEE Trans Evol Comput 14(6): 821-841.
21. DeSanctis G (1984) Computer graphics as decision aids: directions for research. Decis Sci 15: 463-487.
22. Eick SG, Wills GJ (1995) High interaction graphics. Eur J Oper Res 81(3): 445-459.
23. Everitt BS (1978) Graphical techniques for multivariate data. Heinemann Educational Books.
24. Flury B, Riedwyl H (1981) Graphical representation of multivariate data by means of asymmetrical faces. J Am Stat Assoc 76(376): 757-765.
25. Gabriel KR (1981) Biplot display of multivariate matrices for inspection of data and diagnosis. In: Barnett V (ed) Interpreting multivariate data. Wiley, Chichester, pp 147-173.
26. Gandibleux X (1999) Interactive multicriteria procedure exploiting a knowledge-based module to select electricity production alternatives: the CASTART system. Eur J Oper Res 113(2): 355-373.
27. Geoffrion AM, Dyer JS, Feinberg A (1972) An interactive approach for multi-criterion optimization, with an application to the operation of an academic department. Manag Sci 19(4): 357-368.
28. Gnanadesikan R (1977) Methods for statistical data analysis of multivariate observations. Wiley, New York.
29. Graves SB, Ringuest JL, Bard JF (1992) Recent developments in screening methods for nondominated solutions in multiobjective optimization. Comput Oper Res 19(7): 683-694.
30. Guerrero H (2010) Excel data analysis: modeling and simulation. Springer, Berlin.
31. Hamming RW (1973) Numerical methods for scientists and engineers. McGraw Hill, New York.
32. Hartigan JA (1975) Printer graphics for clustering. J Stat Comput Simul 4(1): 187-213.
33. Huff DL, Black W (1978) A multivariate graphic display for regional analysis. In: Wang PCC (ed) Graphical representation of multivariate data. Academic Press, New York, pp 199-218.
34. Hwang C-L, Masud ASM (1979) Multiple objective decision making-methods and applications: a stateof-the-art survey. Springer, Berlin.
35. Jacob RJK (1978) Facial representation of multivariate data. In: Wang PCC (ed) Graphical representation of multivariate data. Academic Press, New York, pp 143-168.
36. Jacob RJK (1981) Comment. J Am Stat Assoc 76(374): 270-272 (Comment to the article by Kleiner and Hartigan).
37. Jarvenpaa SL (1989) The effect of task demands and graphical format on information processing strategies. Manag Sci 35(3): 285-303.
38. Jaszkiewicz A, Slowiński R (1999) The 'light beam search' approach-an overview of methodology and applications. Eur J Oper Res 113: 300-314.
39. Kasanen E, östermark R, Zeleny M (1991) Gestalt system of holistic graphics: new management support view of MCDM. Comput Oper Res 18(2): 233-239.
40. Klamroth K, Miettinen K (2007) Integrating approximation and interactive decision making in multicriteria optimization. Oper Res 56(1): 222-234.
41. Kleiner B, Hartigan JA (1981) Representing points in many dimensions by trees and castles. J Am Stat Assoc 76(374): 260-269.
42. Klimberg R (1992) GRADS: a new graphical display system for visualizing multiple criteria solutions. Comput Oper Res 19(7): 707-711.
43. Klimberg R, Cohen RM (1999) Experimental evaluation of a graphical display system to visualizing multiple criteria solutions. Eur J Oper Res 119(1): 191-208.
44. Kok M (1986) The interface with decision makers and some experimental results in interactive multiple objective programming method. Eur J Oper Res 26(1): 96-107.
45. Korhonen P, Wallenius J (2008) Visualization in the multiple objective decision-making framework. In: Branke J, Deb K, Miettinen K, Slowinski R (eds) Multiobjective optimization: interactive and evolutionary approaches. Springer, Berlin, pp 195-212.
46. Korhonen PJ (1986) Solving discrete multiple criteria problems by using visual interaction. In: Fandel G, Grauer M, Kurzhanski A, Wierzbicki AP (eds) Large-scale modelling and interactive decision analysis. Springer, Berlin, pp 176-185.
47. Korhonen PJ (1991) Using harmonious houses for visual pairwise comparison of multiple criteria alternatives. Decis Support Syst 7(1): 47-54.
48. Lewandowski A, Granat J (1991) Dynamic BIPLOT as the interaction interface for aspiration based decision support systems. In: Korhonen P, Lewandowski A, Wallenius J (eds) Multiple criteria decision support. Springer, Berlin, pp 229-241.
49. Losa FB, Honert R, Joubert A (2001) The multivariate analysis Biplot as a tool for conflict analysis in MCDA. J Multi-Criteria Decis Anal 10(5): 273-284.
50. Lotov AV, Bushenkov VA, Kamenev GK (2004) Interactive decision maps: approximation and visualization of Pareto frontier. Kluwer Academic Publishers, Boston.
51. Lotov AV, Miettinen K (2008) Visualizing the Pareto frontier. In: Branke J, Deb K, Miettinen K, Slowinski R (eds) Multiobjective optimization: interactive and evolutionary approaches. Springer, Berlin, pp 213-243.
52. Luque M, Ruiz F, Miettinen K (2011) Global formulation for interactive multiobjective optimization. OR Spectr 33: 27-48.
53. Malakooti B, Raman V (2000) Clustering and selection of multiple criteria alternatives using unsupervised and supervised neural networks. J Intell Manuf 11: 435-451.
54. Maňas M (1982) Graphical methods of multicriterial optimization. Zeitschrift für Angewandte Mathematik und Mechanik 62(5): 375-377.
55. Mareschal B, Brans J-P (1988) Geometrical representation for MCDA. Eur J Oper Res 34(1): 69-77.
56. Mezzich JE, Worthington DRL (1978) A comparison of graphical representations of multidimensional psychiatric diagnostic data. In: Wang PCC (ed) Graphical representation of multivariate data. Academic Press, New York, pp 123-141.
57. Miettinen K (1999) Nonlinear multiobjective optimization. Kluwer Academic Publishers, Boston.
58. Miettinen K (2003) Graphical illustration of Pareto optimal solutions. In: Tanino T, Tanaka T, Inuiguchi M (eds) Multi-objective programming and goal programming: theory and applications. Springer, Berlin, pp 197-202.
59. Miettinen K (2006) IND-NIMBUS for demanding interactive multiobjective optimization. In: Trzaskalik T (ed) Multiple criteria decision making'05, pp 137-150. The Karol Adamiecki University of Economics in Katowice.
60. Miettinen K (2008) Introduction to multiobjective optimization: Noninteractive approaches. In: Branke J, Deb K, Miettinen K, Slowinski R (eds) Multiobjective optimization: interactive and evolutionary approaches. Springer, Berlin, pp 1-26.
61. Miettinen K, Mäkelä MM (2000) Interactive multiobjective optimization system WWW-NIMBUS on the Internet. Comput Oper Res 27: 709-723.
62. Miettinen K, Mäkelä MM (2006) Synchronous approach in interactive multiobjective optimization. Eur J Oper Res 170: 909-922.
63. Miettinen K, Molina J, Gonzalez M, Hernandez-Diaz A, Caballero R (2009) Using box indices in supporting comparison in multiobjective optimization. Eur J Oper Res 197: 17-24.
64. Miettinen K, Ruiz F, Wierzbicki AP (2008) Introduction to multiobjective optimization: interactive approaches. In: Branke J, Deb K, Miettinen K, Slowinski R (eds) Multiobjective optimization: interactive and evolutionary approaches. Springer, Berlin, pp 27-57.
65. Miller GA (1956) The magical number seven, plus or minus two: some limits on our capacity for processing information. Psychol Rev 63(2): 81-87.
66. Pickett RM, Grinstein GG (1988) Iconographic displays for visualizing multidimensional data. In: IEEE International Conference on Systems, Man, and Cybernetics, China, 1988, Proceedings, pp 514-519. IEEE.
67. Pickover CA (1990) Computers, pattern, chaos and beauty: graphics from an unseen world. St. Martin's Press, New York.
68. Raveh A (2000) Co-plot: a graphic display method for geometrical representations of MCDM. Eur J Oper Res 125(3): 670-678.
69. Schilling DA, ReVelle C, Cohon J (1983) An approach to the display and analysis of multiobjective problems. Socio-Econ Plan Sci 17(2): 57-63.
70. Sobol MG, Klein G (1989) New graphics as computerized displays for human information processing. IEEE Trans Syst Man Cybern 19: 893-898.
71. Steuer RE (1986) Multiple criteria optimization: theory, computation, and applications. Wiley, New York.
72. Tan YS, Fraser NM (1998) The modified star graph and the petal diagram: two new visual aids for discrete alternative multicriteria decision making. J Multi-Criteria Decis Anal 7(1): 20-33.
73. Thomas JJ, Cook KA (2005) Illuminating the path: the research and development agenda for visual analytics. IEEE Press.
74. Törn A (1983) A sampling-search-clustering approach for solving scalar (local, global) and vector optimization problems. In: Carlsson C, Kochetkova Y (eds) Theory and practice of multiple criteria decision making. North-Holland Publishing Company, Amsterdam, pp 119-141.
75. Trinkaus HL, Hanne T (2005) knowcube: a visual and interactive support for multicriteria decision making. Comput Oper Res 32: 1289-1309.
76. Tufte ER (1983) The visual display of quantitative information. Graphics Press, Cheshire.
77. Tukey PA, Tukey JW (1981) Data-driven view selection; agglomeration and sharpening. In: Barnett V (ed) Interpreting multivariate data. Wiley, Chichester, pp 215-243.
78. Tukey PA, Tukey JW (1981) Preparation; prechosen sequences of views. In: Barnett V (ed) Interpreting multivariate data. Wiley, Chichester, pp 189-213.
79. Tversky A, Kahneman D (1974) Judgment under uncertainty: heuristics and biases. Science 185(4157): 1124-1131.
80. Umanath NS, Vessey I (1994) Multiattribute data presentation and human judgment: a cognitive fit perspective. Decis Sci 25(5/6): 795-824.
81. Vessey I (1991) Cognitive fit: a theory-based analysis of the graphs versus tables literature. Decis Sci 22: 219-240.
82. Vetschera R (1992) A preference-preserving projection technique for MCDM. Eur J Oper Res 61(1-2): 195-203.
83. Vetschera R (1994) Visualisierungstechiken in Entscheidungsproblemen bei mehrfacher Zielsetzung. OR Spectr 16: 227-241.
84. Voegele K (1990) Annotated bibliography. In: Nielson GM, Shiver B (eds) Visualization in scientific computing, pp 5-25. IEEE Computer Society Press.
85. Wakimoto K, Taguri M (1978) Constellation graphical method for representing multi-dimensional data. Ann Inst Stat Math, 30: 97-104, part A.
86. Wang PCC, Lake GE (1978) Application of graphical multivariate techniques in policy sciences. In: Wang PCC (ed) Graphical representation of multivariate data. Academic Press, New York, pp 13-58.
87. Ware C (2000) Information visualization: perception for design. Morgan Kaufmann Publishers, Menlo Park.
88. Wickens CD (1992) Engineering psychology and human performance. HarperCollins Publishers, New York.
89. Wierzbicki AP (1982) A mathematical basis for satisficing decision making. Math Model 3: 391-405.